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Finding the Fourth Proportional to 9,722.16, 13,408.92 and 7,340.13

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Solution

The fourth proportional to 9,722.16, 13,408.92 and 7,340.13 is: 10,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.16 : 13,408.92 = 7,340.13 : x
  2. Step 2: Convert to fraction form
    9,722.16/13,408.92 = 7,340.13/x
  3. Step 3: Cross multiply
    9,722.16x = 13,408.92 × 7,340.13
  4. Step 4: Simplify right side
    9,722.16x = 98,423,215.96
  5. Step 5: Solve for x
    x = 98,423,215.96/9,722.16
  6. Step 6: Final answer
    x = 10,123.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.